Geodesic
The Genuine Omega-regular Unitary Dual of the Metaplectic Group
Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 669-704

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DOI

We classify all genuine unitary representations of the metaplectic group whose infinitesimal character is real and at least as regular as that of the oscillator representation. In a previous paper we exhibited a certain family of representations satisfying these conditions, obtained by cohomological induction from the tensor product of a one-dimensional representation and an oscillator representation. Our main theorem asserts that this family exhausts the genuine omega-regular unitary dual of the metaplectic group.
DOI : 10.4153/CJM-2011-075-x
Mots-clés : 22E46, Metaplectic group, oscillator representation, bottom layer map, cohomological induction, Parthasarathy’s Dirac Operator Inequality, pseudospherical principal series 
Pantano, Alessandra; Paul, Annegret; Salamanca-Riba, Susana A. The Genuine Omega-regular Unitary Dual of the Metaplectic Group. Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 669-704. doi: 10.4153/CJM-2011-075-x
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     title = {The {Genuine} {Omega-regular} {Unitary} {Dual} of the {Metaplectic} {Group}},
     journal = {Canadian journal of mathematics},
     pages = {669--704},
     year = {2012},
     volume = {64},
     number = {3},
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